Nonstationary spherical wave diffraction by a circular cylinder in a fluid

Kubenko, V. D.; Salenko, S. D.

doi:10.1007/bf00887053

Soviet Applied Mechanics

1989

DOI: 10.1007/bf00887053

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Nonstationary spherical wave diffraction by a circular cylinder in a fluid

V. D. Kubenko¹,

S. D. Salenko²

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Cited by 2 publications

(3 citation statements)

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“…Applying the Laplace transform to formulas (4) and (9) and substituting the result into (21), we find C( ) β and the coefficients of the series (9)…”

mentioning

confidence: 99%

“…Let us represent this potential as the series (7), whose Laplace-transformed coefficients are defined by (9). The arbitrary function C( ) β is determined from the boundary…”

mentioning

confidence: 99%

“…First, note that the generation and propagation of an underwater SW is a nonlinear process [9]. However, the SW can be described approximately by the linear theory at distances exceeding 10 radii of the explosive charge.…”

mentioning

confidence: 99%

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Interaction of a spherical shockwave and an elastic circular cylindrical shell

2004

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The paper studies the interaction of a spherical shock wave with an elastic circular cylindrical shell immersed in an infinite acoustic medium. The shell is assumed infinitely long. The wave source is quite close to the shell, causing deformation of just a small portion of the shell, which makes it possible to represent the solution by a double Fourier series. The method allows the exact determination of the hydrodynamic forces acting on the shell and analysis of its stress state. Some characteristic features of the stress state are described for different distances to the wave source. Formulas are proposed for establishing the safety conditions of the shell.Consider an infinitely long elastic circular cylindrical shell immersed in an infinite fluid. A point source of shock waves (SWs) is located at a distance R 0 from the shell axis. A spherical SW is diffracted by the shell, and while deforming, the shell generates radiation waves. Therefore, the stress analysis of the shell must involve the simultaneous solution of the equations of motion of the fluid and shell coupled by boundary conditions at the shell surface. Though various approaches were considered in [1-3, 5, 6, 11, 13, 14, etc.] to solve this problem, no exact and complete results have been obtained yet.The findings in nonstationary elasticity and hydroelasticity are discussed in [14,16,18]. We will solve the problem on the basis of linear theory. Let the shell radius r 0 , the density of the fluid ρ 0 , and the sonic velocity in the fluid c 0 be units of measurement. Then all other quantities are measured in terms of fractions of the power complex r c 0 0 0 α β γ ρ that has the same dimension as a given quantity. With such an approach, all dependences will be dimensionless, which is convenient for theoretical analysis. We will describe the deformation of the shell using the linear theory of shells based on the Kirchhoff-Love hypothesis. Let the displacements of the shell's median surface, u, ν, and w, be the basic variables. Then, written in a cylindrical coordinate system x, r, θ whose axis coincides with the shell axis, the equations of motion of the shell take the following form [11]:

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“…Applying the Laplace transform to formulas (4) and (9) and substituting the result into (21), we find C( ) β and the coefficients of the series (9)…”

mentioning

confidence: 99%

“…Let us represent this potential as the series (7), whose Laplace-transformed coefficients are defined by (9). The arbitrary function C( ) β is determined from the boundary…”

mentioning

confidence: 99%

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Interaction of a spherical shockwave and an elastic circular cylindrical shell

2004

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Nonsteady axisymmetric problem for a spherical inclusion in a cylindrical cavity filled with a compressible fluid

Kubenko¹

1993

Int Appl Mech

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Nonstationary spherical wave diffraction by a circular cylinder in a fluid

Cited by 2 publications

References 1 publication

Interaction of a spherical shockwave and an elastic circular cylindrical shell

Interaction of a spherical shockwave and an elastic circular cylindrical shell

Nonsteady axisymmetric problem for a spherical inclusion in a cylindrical cavity filled with a compressible fluid

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